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Finding the Fourth Proportional to 99,956.12, 137,926.13 and 64,194.57

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Solution

The fourth proportional to 99,956.12, 137,926.13 and 64,194.57 is: 88,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,956.12 : 137,926.13 = 64,194.57 : x
  2. Step 2: Convert to fraction form
    99,956.12/137,926.13 = 64,194.57/x
  3. Step 3: Cross multiply
    99,956.12x = 137,926.13 × 64,194.57
  4. Step 4: Simplify right side
    99,956.12x = 8,854,108,286.14
  5. Step 5: Solve for x
    x = 8,854,108,286.14/99,956.12
  6. Step 6: Final answer
    x = 88,579.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.